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Finding the Fourth Proportional to 234,121.73, 323,102.63 and 132,164.46

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Solution

The fourth proportional to 234,121.73, 323,102.63 and 132,164.46 is: 182,395.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,121.73 : 323,102.63 = 132,164.46 : x
  2. Step 2: Convert to fraction form
    234,121.73/323,102.63 = 132,164.46/x
  3. Step 3: Cross multiply
    234,121.73x = 323,102.63 × 132,164.46
  4. Step 4: Simplify right side
    234,121.73x = 42,702,683,957.71
  5. Step 5: Solve for x
    x = 42,702,683,957.71/234,121.73
  6. Step 6: Final answer
    x = 182,395.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.